Modal frequencies and shapes for vibrations of two-or three-span continuous timber flooring systems

Binsheng Zhang; Yohannes Brhane; Martin Cullen; Tony Kilpatrick

Modal frequencies and shapes for vibrations of two-or three-span continuous timber flooring systems

Binsheng Zhang, Yohannes Brhane, Martin Cullen, Tony Kilpatrick

Research output: Contribution to conference › Paper › peer-review

Abstract

Based on classic vibrational bending theory on beams, this paper provides comprehensive analytical formulae for vibrational characteristics of continuous timber flooring systems with two unequal spans, including frequency equations, modal frequencies, mode shapes, etc. Three practical boundary conditions are considered for end supports, i.e. fixed, pinned and free supports, and a total of nine combinations of flooring systems are created. The deductions of analytical formulae are also expanded to continuous flooring systems with three equal spans and pinned end supports. The obtained analytical equations for vibrational characteristics can be applied for practical design of continuous flooring systems with two unequal spans or three equal spans. Two design examples are also provided.

Original language	English
Publication status	Published - 2018
Event	2018 World Conference on Timber Engineering - Seoul, Korea, Republic of Duration: 20 Aug 2018 → 23 Aug 2018 Conference number: 142112

Conference

Conference	2018 World Conference on Timber Engineering
Abbreviated title	WCTE 2018
Country/Territory	Korea, Republic of
City	Seoul
Period	20/08/18 → 23/08/18

Keywords

Frequency equations
Modal frequencies
Modal shapes
Multi-span continuous timber floors

ASJC Scopus subject areas

Forestry
Plant Science

Cite this

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title = "Modal frequencies and shapes for vibrations of two-or three-span continuous timber flooring systems",

abstract = "Based on classic vibrational bending theory on beams, this paper provides comprehensive analytical formulae for vibrational characteristics of continuous timber flooring systems with two unequal spans, including frequency equations, modal frequencies, mode shapes, etc. Three practical boundary conditions are considered for end supports, i.e. fixed, pinned and free supports, and a total of nine combinations of flooring systems are created. The deductions of analytical formulae are also expanded to continuous flooring systems with three equal spans and pinned end supports. The obtained analytical equations for vibrational characteristics can be applied for practical design of continuous flooring systems with two unequal spans or three equal spans. Two design examples are also provided.",

keywords = "Frequency equations, Modal frequencies, Modal shapes, Multi-span continuous timber floors",

author = "Binsheng Zhang and Yohannes Brhane and Martin Cullen and Tony Kilpatrick",

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note = "2018 World Conference on Timber Engineering, WCTE 2018 ; Conference date: 20-08-2018 Through 23-08-2018",

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T1 - Modal frequencies and shapes for vibrations of two-or three-span continuous timber flooring systems

AU - Zhang, Binsheng

AU - Brhane, Yohannes

AU - Cullen, Martin

AU - Kilpatrick, Tony

N1 - Conference code: 142112

PY - 2018

Y1 - 2018

N2 - Based on classic vibrational bending theory on beams, this paper provides comprehensive analytical formulae for vibrational characteristics of continuous timber flooring systems with two unequal spans, including frequency equations, modal frequencies, mode shapes, etc. Three practical boundary conditions are considered for end supports, i.e. fixed, pinned and free supports, and a total of nine combinations of flooring systems are created. The deductions of analytical formulae are also expanded to continuous flooring systems with three equal spans and pinned end supports. The obtained analytical equations for vibrational characteristics can be applied for practical design of continuous flooring systems with two unequal spans or three equal spans. Two design examples are also provided.

AB - Based on classic vibrational bending theory on beams, this paper provides comprehensive analytical formulae for vibrational characteristics of continuous timber flooring systems with two unequal spans, including frequency equations, modal frequencies, mode shapes, etc. Three practical boundary conditions are considered for end supports, i.e. fixed, pinned and free supports, and a total of nine combinations of flooring systems are created. The deductions of analytical formulae are also expanded to continuous flooring systems with three equal spans and pinned end supports. The obtained analytical equations for vibrational characteristics can be applied for practical design of continuous flooring systems with two unequal spans or three equal spans. Two design examples are also provided.

KW - Frequency equations

KW - Modal frequencies

KW - Modal shapes

KW - Multi-span continuous timber floors

UR - http://www.scopus.com/inward/record.url?scp=85058162406&partnerID=8YFLogxK

M3 - Paper

T2 - 2018 World Conference on Timber Engineering

Y2 - 20 August 2018 through 23 August 2018

ER -

Modal frequencies and shapes for vibrations of two-or three-span continuous timber flooring systems

Abstract

Conference

Keywords

ASJC Scopus subject areas

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